{"id":"https://openalex.org/W1529380551","doi":"https://doi.org/10.1109/jsac.2015.2435358","title":"Analysis of &lt;inline-formula&gt; &lt;tex-math notation=\"LaTeX\"&gt;$K$&lt;/tex-math&gt;&lt;/inline-formula&gt;-Tier Uplink Cellular Networks With Ambient RF Energy Harvesting","display_name":"Analysis of &lt;inline-formula&gt; &lt;tex-math notation=\"LaTeX\"&gt;$K$&lt;/tex-math&gt;&lt;/inline-formula&gt;-Tier Uplink Cellular Networks With Ambient RF Energy Harvesting","publication_year":2015,"publication_date":"2015-05-20","ids":{"openalex":"https://openalex.org/W1529380551","doi":"https://doi.org/10.1109/jsac.2015.2435358","mag":"1529380551"},"language":"en","primary_location":{"id":"doi:10.1109/jsac.2015.2435358","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsac.2015.2435358","pdf_url":null,"source":{"id":"https://openalex.org/S90422530","display_name":"IEEE Journal on Selected Areas in Communications","issn_l":"0733-8716","issn":["0733-8716","1558-0008"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Journal on Selected Areas in Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052891361","display_name":"Ahmed Hamdi Sakr","orcid":null},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Ahmed Hamdi Sakr","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg, MB, Canada","[Dept. of Electr. & Comput. Eng, Univ. of Manitoba, Winnipeg, MB, Canada]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg, MB, Canada","institution_ids":["https://openalex.org/I46247651"]},{"raw_affiliation_string":"[Dept. of Electr. & Comput. Eng, Univ. of Manitoba, Winnipeg, MB, Canada]","institution_ids":["https://openalex.org/I46247651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089270885","display_name":"Ekram Hossain","orcid":"https://orcid.org/0000-0002-5932-6887"},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ekram Hossain","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg, MB, Canada","[Dept. of Electr. & Comput. Eng, Univ. of Manitoba, Winnipeg, MB, Canada]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg, MB, Canada","institution_ids":["https://openalex.org/I46247651"]},{"raw_affiliation_string":"[Dept. of Electr. & Comput. Eng, Univ. of Manitoba, Winnipeg, MB, Canada]","institution_ids":["https://openalex.org/I46247651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052891361"],"corresponding_institution_ids":["https://openalex.org/I46247651"],"apc_list":null,"apc_paid":null,"fwci":14.4019,"has_fulltext":false,"cited_by_count":105,"citation_normalized_percentile":{"value":0.99191345,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"33","issue":"10","first_page":"2226","last_page":"2238"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10936","display_name":"Millimeter-Wave Propagation and Modeling","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stochastic-geometry","display_name":"Stochastic geometry","score":0.7635282278060913},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6598875522613525},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.618217408657074},{"id":"https://openalex.org/keywords/energy-harvesting","display_name":"Energy harvesting","score":0.5898963212966919},{"id":"https://openalex.org/keywords/cellular-network","display_name":"Cellular network","score":0.5144022107124329},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.5086296796798706},{"id":"https://openalex.org/keywords/power-control","display_name":"Power control","score":0.5044559240341187},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4120793044567108},{"id":"https://openalex.org/keywords/poisson-point-process","display_name":"Poisson point process","score":0.4103039503097534},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.40018564462661743},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.3103224039077759},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.28494566679000854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2022835612297058},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.19333204627037048},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11215752363204956}],"concepts":[{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.7635282278060913},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6598875522613525},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.618217408657074},{"id":"https://openalex.org/C101518730","wikidata":"https://www.wikidata.org/wiki/Q930236","display_name":"Energy harvesting","level":3,"score":0.5898963212966919},{"id":"https://openalex.org/C153646914","wikidata":"https://www.wikidata.org/wiki/Q535695","display_name":"Cellular network","level":2,"score":0.5144022107124329},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5086296796798706},{"id":"https://openalex.org/C56685638","wikidata":"https://www.wikidata.org/wiki/Q2300474","display_name":"Power control","level":3,"score":0.5044559240341187},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4120793044567108},{"id":"https://openalex.org/C16757284","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson point process","level":3,"score":0.4103039503097534},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.40018564462661743},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.3103224039077759},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.28494566679000854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2022835612297058},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.19333204627037048},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11215752363204956},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jsac.2015.2435358","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsac.2015.2435358","pdf_url":null,"source":{"id":"https://openalex.org/S90422530","display_name":"IEEE Journal on Selected Areas in Communications","issn_l":"0733-8716","issn":["0733-8716","1558-0008"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Journal on Selected Areas in Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8999999761581421}],"awards":[{"id":"https://openalex.org/G2589340605","display_name":null,"funder_award_id":"STPGP 430285","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W635250944","https://openalex.org/W1966000877","https://openalex.org/W1966781403","https://openalex.org/W1970987019","https://openalex.org/W1971951287","https://openalex.org/W1984714570","https://openalex.org/W2011297805","https://openalex.org/W2034399071","https://openalex.org/W2034420299","https://openalex.org/W2039688938","https://openalex.org/W2068499153","https://openalex.org/W2101121986","https://openalex.org/W2104557602","https://openalex.org/W2113457155","https://openalex.org/W2115559954","https://openalex.org/W2122489958","https://openalex.org/W2129589778","https://openalex.org/W2133685514","https://openalex.org/W2140973383","https://openalex.org/W2149170915","https://openalex.org/W2730171493","https://openalex.org/W2963759507","https://openalex.org/W2963793432","https://openalex.org/W3101445254","https://openalex.org/W3101496806","https://openalex.org/W3101865544","https://openalex.org/W3103806053","https://openalex.org/W3105072513","https://openalex.org/W4206136358","https://openalex.org/W4206545993","https://openalex.org/W6740219856"],"related_works":["https://openalex.org/W2017282549","https://openalex.org/W843662420","https://openalex.org/W2029450718","https://openalex.org/W3196246556","https://openalex.org/W2953220063","https://openalex.org/W2786455713","https://openalex.org/W2949860582","https://openalex.org/W1524411820","https://openalex.org/W1542638718","https://openalex.org/W2482290523"],"abstract_inverted_index":{"We":[0,44,147,185],"use":[1,46],"stochastic":[2],"geometry":[3],"to":[4,55,84,129,139],"develop":[5],"a":[6,79,89,95,200],"comprehensive":[7],"modeling":[8],"framework":[9],"for":[10,133,142],"K-tier":[11],"uplink":[12],"cellular":[13,22,36],"networks":[14],"with":[15,40,88],"RF":[16,192],"energy":[17,41,61,76,193],"harvesting":[18,194],"from":[19,48],"the":[20,25,57,73,101,110,113,118,149,153,159,165,179,182,188,204],"concurrent":[21],"transmissions.":[23],"In":[24,168],"considered":[26],"system":[27,103],"model,":[28],"channel":[29,86],"inversion":[30,87],"power":[31],"control":[32],"is":[33,69,82,105],"used":[34],"and":[35,117,145,164,175],"users":[37],"are":[38],"equipped":[39],"storage":[42],"units.":[43],"also":[45],"tools":[47],"queueing":[49],"theory,":[50],"namely,":[51],"Markov":[52],"chain":[53],"analysis,":[54],"model":[56,104],"level":[58],"of":[59,75,100,109,151,162,181,190,203],"stored":[60,77],"in":[62,78,107,137],"each":[63],"user's":[64,80],"battery.":[65],"A":[66],"successful":[67],"transmission":[68,111],"assumed":[70],"only":[71],"when":[72],"amount":[74],"battery":[81],"sufficient":[83],"perform":[85],"received":[90],"signal-to-interference":[91],"ratio":[92],"(SIR)":[93,114],"above":[94],"predefined":[96],"threshold.":[97],"The":[98],"performance":[99,135],"proposed":[102,183],"evaluated":[106],"terms":[108],"probability,":[112,116],"coverage":[115],"overall":[119],"success":[120],"probability.":[121],"Using":[122],"Poisson":[123],"point":[124],"processes":[125],"(PPPs)":[126],"enables":[127],"us":[128],"derive":[130],"simple":[131],"expressions":[132],"these":[134],"metrics":[136],"order":[138],"obtain":[140],"insights":[141],"network":[143,155,205],"design":[144,206],"optimization.":[146],"show":[148,186],"effect":[150],"varying":[152],"different":[154],"parameters":[156],"such":[157],"as":[158],"spatial":[160],"density":[161],"BSs":[163],"receiver":[166],"sensitivity.":[167],"addition,":[169],"we":[170],"discuss":[171],"several":[172],"special":[173],"cases":[174],"provide":[176],"guidelines":[177],"on":[178],"extensions":[180],"framework.":[184],"that":[187],"gain":[189],"using":[191],"can":[195],"be":[196],"highly":[197],"improved":[198],"by":[199],"proper":[201],"choice":[202],"parameters.":[207]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":24},{"year":2017,"cited_by_count":29},{"year":2016,"cited_by_count":20}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
